/usr/share/octave/packages/geometry-1.7.0/geom2d/createRay.m is in octave-geometry 1.7.0-1build1.
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1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 | ## Copyright (C) 2004-2011 David Legland <david.legland@grignon.inra.fr>
## Copyright (C) 2004-2011 INRA - CEPIA Nantes - MIAJ (Jouy-en-Josas)
## Copyright (C) 2012 Adapted to Octave by Juan Pablo Carbajal <carbajal@ifi.uzh.ch>
## All rights reserved.
##
## Redistribution and use in source and binary forms, with or without
## modification, are permitted provided that the following conditions are met:
##
## 1 Redistributions of source code must retain the above copyright notice,
## this list of conditions and the following disclaimer.
## 2 Redistributions in binary form must reproduce the above copyright
## notice, this list of conditions and the following disclaimer in the
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##
## THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS ''AS IS''
## AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
## IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
## ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE FOR
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## DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR
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## CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY,
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## OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
## -*- texinfo -*-
## @deftypefn {Function File} { @var{ray} = } createRay (@var{point}, @var{angle})
## @deftypefnx {Function File} { @var{ray} = } createRay (@var{x0},@var{y0}, @var{angle})
## @deftypefnx {Function File} { @var{ray} = } createRay (@var{p1}, @var{p2})
## Create a ray (half-line), from various inputs.
##
## A Ray is represented in a parametric form: [x0 y0 dx dy].
## x = x0 + t*dx
## y = y0 + t*dy;
## for all t>0.
##
## @var{point} is a Nx2 array giving the starting point of the ray, and @var{angle} is the
## orientation of the ray respect to the positive x-axis. The ray origin can be specified with 2 input arguments @var{x0},@var{y0}.
##
## If two points @var{p1}, @var{p2} are given, creates a ray starting from point @var{p1} and going in the direction of point
## @var{p2}.
##
## Example
## @example
## origin = [3 4];
## theta = pi/6;
## ray = createRay(origin, theta);
## axis([0 10 0 10]);
## drawRay(ray);
## @end example
##
## @seealso{rays2d, createLine, points2d}
## @end deftypefn
function ray = createRay(varargin)
if length(varargin)==2
p0 = varargin{1};
arg = varargin{2};
if size(arg, 2)==1
# second input is the ray angle
ray = [p0 cos(arg) sin(arg)];
else
# second input is another point
ray = [p0 arg-p0];
end
elseif length(varargin)==3
x = varargin{1};
y = varargin{2};
theta = varargin{3};
ray = [x y cos(theta) sin(theta)];
else
error("Wrong number of arguments in 'createRay'. ");
end
endfunction
%!shared p1,p2,ray
%! p1 = [1 1];
%! p2 = [2 3];
%! ray = createRay(p1, p2);
%!assert (p1, ray(1,1:2), 1e-6);
%!assert (p2-p1, ray(1,3:4), 1e-6);
%!shared p1,p2,ray
%! p1 = [1 1;1 1];
%! p2 = [2 3;2 4];
%! ray = createRay(p1, p2);
%!assert (2, size(ray, 1));
%!assert (p1, ray(:,1:2), 1e-6);
%!assert (p2-p1, ray(:,3:4), 1e-6);
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